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87315642 = 23214393371
BaseRepresentation
bin1010011010001…
…01010010111010
320002022002112200
411031011102322
5134323100032
612355251030
72110112361
oct515052272
9202262480
1087315642
1145318597
12252a9a76
131512217b
14b84c7d8
1579eb47c
hex53454ba

87315642 has 24 divisors (see below), whose sum is σ = 189371520. Its totient is φ = 29076360.

The previous prime is 87315637. The next prime is 87315643. The reversal of 87315642 is 24651378.

87315642 is a `hidden beast` number, since 8 + 7 + 3 + 1 + 5 + 642 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87315597 and 87315606.

It is not an unprimeable number, because it can be changed into a prime (87315643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24217 + ... + 27587.

It is an arithmetic number, because the mean of its divisors is an integer number (7890480).

Almost surely, 287315642 is an apocalyptic number.

87315642 is an abundant number, since it is smaller than the sum of its proper divisors (102055878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87315642 is a wasteful number, since it uses less digits than its factorization.

87315642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4815 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 87315642 is about 9344.2839212002. The cubic root of 87315642 is about 443.6399869582.

The spelling of 87315642 in words is "eighty-seven million, three hundred fifteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 1439 2878 3371 4317 6742 8634 10113 12951 20226 25902 30339 60678 4850869 9701738 14552607 29105214 43657821 87315642